Bosbach states on fuzzy structures
Soft Computing - A Fusion of Foundations, Methodologies and Applications
A logic for reasoning about the probability of fuzzy events
Fuzzy Sets and Systems
De Finetti theorem and Borel states in [0,1]-valued algebraic logic
International Journal of Approximate Reasoning
MV-algebras with internal states and probabilistic fuzzy logics
International Journal of Approximate Reasoning
The radical of a perfect residuated structure
Information Sciences: an International Journal
On varieties of MV-algebras with internal states
International Journal of Approximate Reasoning
Subdirectly irreducible state-morphism BL-algebras
Archive for Mathematical Logic
Soft Computing - A Fusion of Foundations, Methodologies and Applications
State operators on GMV algebras
Soft Computing - A Fusion of Foundations, Methodologies and Applications
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
| Hi-index | 0.21 |
We enlarge the language of R@?-monoids, which are a non-commutative generalizations of both MV algebras and BL algebras, by adding a unary operation that describes algebraic properties of a state (= an analog of probability measures). The resulting algebras are called stateR@?-monoids and state-morphismR@?-monoids. We present basic properties of such algebras. We describe subdirectly irreducible algebras, some generators of the varieties of state-morphism R@?-monoids, and an interplay between states and state operators.